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Cooling To Absolute Zero Mathematically Outlawed After a Century (newscientist.com)

After more than 100 years of debate -- which at one point even elicited interest from Albert Einstein and Max Planck, physicists have finally offered up mathematical proof of the third law of thermodynamics, which states that a temperature of absolute zero cannot be physically achieved because it's impossible for the entropy (or disorder) of a system to hit zero. While scientists have long suspected that there's an intrinsic 'speed limit' on the act of cooling in our Universe that prevents us from ever achieving absolute zero (0 Kelvin, -273.15 C, or -459.67 F), this is the strongest evidence yet that our current laws of physics hold true when it comes to the lowest possible temperature. From a report on NewScientist: Now Jonathan Oppenheim and Lluis Masanes at University College London have mathematically derived the unattainability principle and placed limits on how fast a system can cool, creating a general proof of the third law. "In computer science, people ask this question all the time: how long does it take to perform a computation?" says Oppenheim. "Just as a computing machine performs a computation, a cooling machine cools a system." So, he and Masanes asked how long it takes to get cold. Cooling can be thought of as a series of steps: heat is removed from the system and dumped into the surrounding environment again and again, and each time the system gets colder. How cold depends on how much work can be done to remove the heat and the size of the reservoir for dumping it. By applying mathematical techniques from quantum information theory, they proved that no real system will ever reach 0 kelvin: it would take an infinite number of steps. Getting close to absolute zero is possible, though, and Masanes and Oppenheim quantified the steps of cooling, setting speed limits for how cold a given system can get in finite time.

24 of 210 comments (clear)

  1. Wow by Anonymous Coward · · Score: 5, Funny

    Thats really cool!

    1. Re:Wow by Anonymous Coward · · Score: 3, Funny

      You're lucky, I couldn't quite finish reading it...

    2. Re:Wow by SeaFox · · Score: 5, Funny

      Thats really cool!

      Not as cool as it theoretically could be.

  2. Zeno's Paradox by Oxygen99 · · Score: 5, Insightful

    Isn't this just Zeno's paradox applied to really good fridges?

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    1. Re:Zeno's Paradox by swillden · · Score: 3, Insightful

      Isn't this just Zeno's paradox applied to really good fridges?

      It would be if each additional half-distance traveled required more work and more time than was expended to travel the first half.

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    2. Re:Zeno's Paradox by Daetrin · · Score: 3, Interesting

      I had the same thought, and this is actually the rare case where it might apply!

      In real life as far as movement goes you're never actually trying to get to an exact point. For one thing, because of uncertainty in measurements you can't ever get to an _exact_ point. You can't even tell _exactly_ where something is. On top of that (literally in this case) objects take up space, even individual atoms, so if you move an object to a point it won't be exactly at that point, it will be overlapping that point to some degree. So no matter how precise you're trying to be you're always overshooting at least a little bit. Which means that even ignoring the problem of calculus Xeno's paradox has a hole in it. You're never trying to get exactly to a point, you're actually trying to get to a little past the point and just stopping once you're close enough/sufficiently overlapping. It's effectively the same as starting out trying to run twice the distance, getting halfway, and declaring yourself done.

      The difference in this case is twofold, one: there's no "past the point" you can aim for. The whole idea of absolute zero is that it's the lowest you can go. Two: they seem to be saying that there is no quanta of temperature. You can never remove the last bit, you can only remove a portion of what is there.

      Assuming that the second part is correct (i'll leave the proof or disproof of that to actual scientists =) the first part makes it impossible to ever arrive at actual zero.

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    3. Re:Zeno's Paradox by mark-t · · Score: 5, Informative

      Actually, 0.999... *is* equal to 1.... in real life. They are simply two different ways of describing the exact same number.

      I'll give you benefit of the doubt and assume that you are not somebody who thinks that they have a clear understanding of why they should be different and would ignore any proofs to the contrary, but here is one of probably a dozen proofs that should be readily understandable by anyone who knows how to compute the decimal expansion of a fraction.

      Consider that the decimal expansion of 1/9 is 0.111.... repeating forever, and it is clear that if you multiply this decimal expansion of 1/9 by any one-digit number, there are no carryovers in the multiplication, so 0.111... multiplied by 9 would therefore equal 0.999... repeating forever, but we also know that 1/9 multiplied by 9 is 1, and thus 0.999... must be equal to 1... They look different, but they are actually the same. This is not simply the result of some series converging on the number 1, it literally is the exact same number. It is simply an alternative representation that arises out of the ways that we are permitted to describe numbers in mathematics.

    4. Re:Zeno's Paradox by thinkwaitfast · · Score: 2

      Hey! I'm a real physicist writing from my own cozy house. I just sit back and eat popcorn through most of these things....

    5. Re:Zeno's Paradox by ChrisMaple · · Score: 2

      You are denying that an open interval and a closed interval are different things.

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    6. Re:Zeno's Paradox by vux984 · · Score: 4, Informative

      Like getting to the end of a race track cannot ever happen. To get to the end you first have to get 1/2 the way there. To get to the half way point, you first must get to the 1/4 point. To get there, you must first get to the 1/8 point. You have an infinite number of steps to get from the start to the end so there are always more steps between and you can never complete it

      This is one of Zeno's Paradoxes and it is shown to be false basically because of calculus.

      "Basically because of calculus" is the most hand-wavy excuse. The REASON you can reach the end of a race track is that the time to complete 'each 1/2 step' converges to zero. What if we added some 'overhead' so the time per step didn't converge to zero... then what happens? Say we add the requirement that you stop for 0.1 seconds each time you traverse another "1/2 of the remainder", now how long will it take to cross the finish line?

      Answer: You won't finish. Now it WILL take infinite time.

      So saying you cannot complete an infinite number of steps in a finite amount of time is wrong!

      If the iterations converge to requiring zero time to complete then maybe you can complete an infinite series of them in a finite amount of time. Otherwise... nope. Forget it.

  3. Wrong! by whoever57 · · Score: 4, Funny

    All they need to do is to heat it to below absolute zero and then let it warm up a little.

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    1. Re:Wrong! by Anonymous Coward · · Score: 5, Interesting

      Nope.. .Still wrong.

      As an atom spins it gives off infrared energy. The slower it spins, the less infrared energy it will give off also contracting in size.

      Since EVERYTHING in the known universe gives off infrared energy, it is near impossible to shield infrared energy from reaching the atom and it is highly unlikely for it ever to reach absolute zero.

      Absolute zero is the point that the atom will no longer spin. They are correct that absolute zero will never be attainable from an object of mass.
      BUT...

      The problem nobody talks about is that object of mass doesn't need to stay an object of mass. At absolute zero it will return to the energy that it was before it became mass, AND absolute zero is attained because photons do not give off heat.

      But then again, it is no longer mass., so who cares?

      Nathan

       

    2. Re:Wrong! by doctorfaustus · · Score: 2

      I don't think so. If it has energy, then that energy can be transferred, and heat is the transfer of energy. Absolute zero is an energy-less state....

    3. Re:Wrong! by omnichad · · Score: 2

      The only problem I have with your proposal is that you seem to be suggesting that the possession of some amount of temperature (enthalpy) by an atom is an intrinsic requirement to maintain the atom's existence.

      I think that is the core question that's raised. What is an atom?

      I guess as a prediction "matter decays into energy at absolute zero" could be either right or wrong, but for me it belongs in the same category as "black holes are wormholes to other universes".

      What energy? I'd think you have to entirely remove all energy from a closed system in order to reach absolute zero - no energy, no matter.

  4. Exactly the sort of burdensome regulations by rsilvergun · · Score: 4, Funny

    our new president was elected to repeal. We're going to make America Cool again!

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  5. "Lisa, get in here!" by Anonymous Coward · · Score: 5, Funny

    "In this house we obey the laws of thermodynamics!"

  6. Would? by xession · · Score: 2

    Would this also be a property of time? That you can't reach absolute zero because doing so, would be akin to stopping time, if only for that specific single point in space?

    Now that has me wondering about the singularity in a black hole. And now my brain hearts a little as so many things seem to conflict with all of this.

    1. Re:Would? by bill_mcgonigle · · Score: 4, Informative

      Would this also be a property of time? That you can't reach absolute zero because doing so, would be akin to stopping time, if only for that specific single point in space?

      Now that has me wondering about the singularity in a black hole. And now my brain hearts a little as so many things seem to conflict with all of this.

      Read Hawking's "A Brief History of Time" - it's from the 80's but he deals with this and related concepts elegantly. Time never gets to zero - as soon as you try you're back to where you started. cf. Alice's Adventures.

      I think the proof in this case is a bit different, though. If a system had zero energy, you couldn't even interact with it (i.e. observe it). And there's the quantum noise of everything in the universe; it probably isn't possible to stop the soup without removing space from the universe, and fields will always be interacting with matter no matter how hard a scientist wishes otherwise.

      Unless we develop technology to create voids in the universe or to exclude fields we're going to have vibrating matter.

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    2. Re:Would? by rcamans · · Score: 3, Interesting

      If you cooled it to absolute 0 you would know the velocity is rpecisely 0. That is a violation of Heisenberg's uncertainty principle.

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  7. Never been to Canada by fred6666 · · Score: 4, Funny

    in the winter, pretty sure it's colder than that.

  8. Physicists are such bastards by Overzeetop · · Score: 2

    Blah blah blah...you can't go faster than light.

    Blah blah blah...you can't cool to absolute zero.

    I'll bet a politician would tell me I could do either one of those if it would my vote. Why can't physicists respect my desires like the nice men in suits do?

    --
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  9. Reminds me of this engineering joke: by Anonymous Coward · · Score: 5, Funny

    Reminds me of this engineering joke:

    A mathematician, a physicist, and an engineer were asked to review this mathematical problem. In a high school gym, all the girls in the class were lined up against one wall, and all the boys against the opposite wall. Then, every ten seconds, they walked toward each other until they were half the previous distance apart. The mathematician, physicist, and engineer were asked, “When will the girls and boys meet?”

    The mathematician said, “Never.”

    The physicist said, “In an infinite amount of time.”

    The engineer said, “Well... in about two minutes, they'll be close enough for all practical purposes.”

  10. Two things by Anonymous Coward · · Score: 2, Interesting

    One: I think you mean "ruled out" rather than "outlawed." That implies some sort of change in the legality rather than a revealing of a "legality" (which is a somewhat obtuse way of looking at this since science is a system of attempting to describe reality rather than an attempt to describe some sort of human invention or behavior) that already existed.

    Two: This has an interesting implication for our universe, I think. It's possible that the entropy eventually reaches 0 in the universe as a whole (since this apparently applies to localized entropy), but if that's actually impossible, it means there will always be *some* sort of entropy in the universe regardless of its size. I would think this to mean that a universe "death" of expansion is preferable to a universe death of collapse, at least from the perspective of life. With no entropy, there isn't really existence.

  11. Re:Universal Heat Death? by ChrisMaple · · Score: 2

    Heat death is when there is no temperature differential and no way to make a temperature differential, not that there is a zero temperature.

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